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3 years ago

Which is the best estimate for the mass of a bicycle?

1 answer:

6 0

10 grams wouldn't make sense because a gram is about the weight of a paperclip and even 10 paper clips would not be anywhere close to the mass of the bicycle so we can eliminate this right away.

1,000 grams wouldn't make sense any either since a kilograms weighs about the size of a thick book and 1,000 grams is equal to 1 kilogram.

100 kilograms is way to heavy because 100 kilograms is around 100 large thick books stacked on top of each other.

This leaves us with 10 kilograms which

is the appropriate weight for a bicycle.

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Dylan lives about 27 miles from the mall. If he can drive at an average rate of 36 miles per hour through town, about how long d

Vlad [161]

Answer:

45 minutes

Step-by-step explanation:

distance / rate = time

27 miles / 36 miles/hr = .75 hr ( 45 minutes )

6 0

2 years ago

Help please!Gary attended a Halloween Carnival last night. He paid $8 for admission and went on 15 carnival rides.

dusya [7]

Answer:

3.9

Step-by-step explanation: divide when he went for addimition 8 dollars 15 carnival's and total of 31.25 . 31.25/15

4 0

3 years ago

A sea horse riding travels an average of 0.01 miles per hour. At that rate , how fast can a sea horse travel in 2.4 hours?

kondaur [170]

As for this problem, it would be best to approach this with a ratio to ratio approach. This would then involve the equation with fractions which is the common conversion from ratios to easily solve the problems concerning these. The equation then would look somehow like this:

0.01 miles / 1 hour = x miles / 2.4 hours

The easiest way would be just to multiply the numerator, which is the miles, to 2.4. So when it is multiplied to the numerator, the equation then would turn to:

0.01 miles x 2.4 / 1 hour = x miles / 2.4 hours

0.024 miles would be the answer.

5 0

3 years ago

Read 2 more answers

Andrew blew up 25 more balloons than the quotient of the number that Cameron blew up and 8.Cameron blew up b balloons.Write an e

Softa [21]

I have no idea sorry

4 0

3 years ago

A practice law exam has 100 questions, each with 5 possible choices. A student took the exam and received 13 out of 100.If the s

Cloud [144]

Answer:

$z=\frac{13-20}{4}=-1.75$

Assuming:

H0: $\mu \geq 20$

H1: $\mu$

$p_v = P(Z$

Step-by-step explanation:

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest (number of correct answers in the test), on this case we now that:

$X \sim Binom(n=100, p=0.2)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

We need to check the conditions in order to use the normal approximation.

$np=100*0.2=20 \geq 10$

$n(1-p)=20*(1-0.2)=16 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=100*0.2=20$

$\sigma=\sqrt{np(1-p)}=\sqrt{100*0.2(1-0.2)}=4$

So we can approximate the random variable X like this:

$X\sim N(\mu =20, \sigma=4)$

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean". The letter $\phi(b)$ is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: $\phi(b)=P(z$